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SpecialProblems3-5 - (b Find the potential energy(kJ of the...

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Special Problems for ME 200 – Fall 2011 Special Problems 3, 4, and 5 Due Friday, September 2, 2011 SP3: A mountain climber carries a barometer which reads 30.1 in Hg at the base of the mountain. At the mountain top, the barometer reads 26.45 in Hg. Consider that the average density of air is 0.074 lbm/ft 3 and assume that acceleration due to gravity remains constant. Estimate the vertical distance (ft) from the base of the mountain to its top. SP4: An airplane whose mass is 5000 kg is flying with a velocity of 150 m/s at an altitude of 10,000 m. Both velocity and elevation are measured relative to the surface of the earth. Assume acceleration due to gravity to be constant at g = 9.8 m/s 2 . (a) Calculate the kinetic energy (kJ) of the airplane.
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Unformatted text preview: (b) Find the potential energy (kJ) of the airplane. (c) What will be the final velocity (m/s) of the airplane if the kinetic energy is increased by 10,000 kJ without any change in elevation? SP5: 1 kg of air expands at constant temperature of 27 C in a piston-cylinder device when its specific volume changes from 0.05 m 3 /kg to 0.1 m 3 /kg. Assume that air satisfies the relation, Pv = RT, where R = 0.287 kJ/kg-K. (a) Determine the quasi-equilibrium work done (kJ/kg) during the process. (b) What is the total work done (kJ/kg) assuming a frictional force of 5000 N acts through 0.25 m during the piston motion? (c) Is the work done to overcome the frictional force quasi-equilibrium? Explain....
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